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Finding the Fourth Proportional to 13,628.65, 20,414.24 and 6,239.32

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Solution

The fourth proportional to 13,628.65, 20,414.24 and 6,239.32 is: 9,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.65 : 20,414.24 = 6,239.32 : x
  2. Step 2: Convert to fraction form
    13,628.65/20,414.24 = 6,239.32/x
  3. Step 3: Cross multiply
    13,628.65x = 20,414.24 × 6,239.32
  4. Step 4: Simplify right side
    13,628.65x = 127,370,975.92
  5. Step 5: Solve for x
    x = 127,370,975.92/13,628.65
  6. Step 6: Final answer
    x = 9,345.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.